I have found a nice way to train legs everyday(!!!), by using single leg exercises (wich by the way work very well to target your quads anyway) , training the left leg 1 day, the right leg, the following day.
Training a single leg, means that you use less weight on exercises, but make no mistake , high focus/intensity on the legs, rather than on your complete body (such as with squats and deads). Hence you will recover faster, also your leg gets one day rest cause you work the opposite leg the next day.
Sample "catch-up" program:
DAY 1: LEFT LEG
6 * 12 single leg press
6 * 16 single leg hack squat
4 * 100 (!!!) lunges, stepping out with the left leg
Some sets of 100 reps at the tail end of a workout are used by some modern bodybuilders to exclusively make inroads to slow twitch fibres for some additional growth, while in some muscle groups this will give only minor results, the legs, for biomechanical reasons happen to be packed with a lot of slow twitch fibres (now the hamstrings is another story, it prolly need low rep work, or short bouts of sprinting with sled resistance etc)
Train hamstrings on back day, combine stiff leg deadlifts with regular deadlifts to pair synergy with lower/back posterior chain development. Also do some sprints before or after you back/ham workout to make additional inroad to the hammies